Result Details
Taylor Series Based Computations and MATLAB ODE Solvers Comparisons
ŠÁTEK, V.; KUNOVSKÝ, J.; KOCINA, F.; CHALOUPKA, J. Taylor Series Based Computations and MATLAB ODE Solvers Comparisons. In Proceedings of the 11th International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2013. no. 1, p. 2289-2292. ISBN: 978-0-7354-1184-5. ISSN: 0094-243X.
Type
conference paper
Language
English
Authors
Šátek Václav, Ing., Ph.D., DITS (FIT)
Kunovský Jiří, doc. Ing., CSc., DITS (FIT)
Kocina Filip, Ing., Ph.D., DITS (FIT)
Chaloupka Jan, Ing.
Kunovský Jiří, doc. Ing., CSc., DITS (FIT)
Kocina Filip, Ing., Ph.D., DITS (FIT)
Chaloupka Jan, Ing.
Abstract
The paper deals with possibilities of numerical solution of Ordinary Differential Equations (ODEs) - Initial Value Problems using Taylor series methods with automatic computation of higher Taylor series terms.
The explicit and implicit scheme of Taylor series method is compared with numerical solvers implemented in MATLAB software. The computation time and accuracy is compared on the set of ODEs test examples [article - Comparing numerical methods for ordinary differential equations. SIAM and article - Two FORTRAN Packages for Assessing Initial Value Methods].
Keywords
Taylor series method, Ordinary Differential Equations, Initial Value Problems, MATLAB ode Solvers
Published
2013
Pages
2289–2292
Journal
AIP conference proceedings, no. 1, ISSN 0094-243X
Proceedings
Proceedings of the 11th International Conference of Numerical Analysis and Applied Mathematics
Conference
11th International Conference of Numerical Analysis and Applied Mathematics
ISBN
978-0-7354-1184-5
Publisher
American Institute of Physics
Place
Rhodes
DOI
UT WoS
000331472800533
EID Scopus
BibTeX
@inproceedings{BUT105968,
author="Václav {Šátek} and Jiří {Kunovský} and Filip {Kocina} and Jan {Chaloupka}",
title="Taylor Series Based Computations and MATLAB ODE Solvers Comparisons",
booktitle="Proceedings of the 11th International Conference of Numerical Analysis and Applied Mathematics",
year="2013",
journal="AIP conference proceedings",
number="1",
pages="2289--2292",
publisher="American Institute of Physics",
address="Rhodes",
doi="10.1063/1.4825997",
isbn="978-0-7354-1184-5",
issn="0094-243X",
url="https://www.fit.vut.cz/research/publication/10319/"
}
Files
Projects
Centrum excelence IT4Innovations, MŠMT, Operační program Výzkum a vývoj pro inovace, ED1.1.00/02.0070, start: 2011-01-01, end: 2015-12-31, completed
Security-Oriented Research in Information Technology, MŠMT, Institucionální prostředky SR ČR (např. VZ, VC), MSM0021630528, start: 2007-01-01, end: 2013-12-31, running
Security-Oriented Research in Information Technology, MŠMT, Institucionální prostředky SR ČR (např. VZ, VC), MSM0021630528, start: 2007-01-01, end: 2013-12-31, running
Research groups
Departments